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The Federal Reserve System
Established by the Federal Reserve Act of 1913
Lender of Last Resort in Financial Crises
Entities
Federal Reserve Banks (12)Board of Governors of the Federal Reserve SystemFederal Open Market CommitteeFederal Advisory Council2800 Member Banks
Aimed at diffusing power, providing checks and balances.
Board of Governors of the Federal Reserve System
Leadership is provided by the Board of Governors:
Seven members headquartered in Washington, D.C.
Appointed by the president and confirmed by the Senate14-year non-renewable term (plus part of another term)
Required to come from different districts
Chairman is chosen from the governors and serves four-yearterm
Federal Open Market Committee (FOMC)
1. Meets eight times a year (every 6 weeks)
2. Consists of seven members of the Board of Governors, thepresident of the Federal Reserve Bank of New York and thepresidents of four other Federal Reserve banks
3. Chairman of the Board of Governors is also chair of FOMC
4. Issues directives to the trading desk at the Federal ReserveBank of New York
Principles of Money Supply Determination
Earlier we learned that by shifts the supply of money leads tochanges in interest rates.
What determines the money supply process?
Players in the Money Supply Process
1. Central bank (Federal Reserve System)
2. Banks (depository institutions; financial intermediaries)
3. Depositors (individuals and institutions)
4. Borrowers (individuals and institutions)
The Fed’s conventional tools:
1. reserve requirements
2. open market operations
3. discount loans
influences the other players’ actions leading to changes in themonetary aggregates.
Fed’s Balance Sheet
Federal Reserve SystemAssets LiabilitiesGovernment Securities Currency in CirculationDiscount Loans Reserves
Monetary Liabilities1. Currency in circulation: in the hands of the public2. Reserves: bank deposits at the Fed and vault cash
Assets1. Government securities: holdings by the Fed that affect money
supply and earn interest2. Discount loans: provide reserves to banks and earn the
discount rate
Monetary Base
The Fed controls the Monetary Base (aka high-powered money):
MB = C + R
C : Currency in circulationR: Total reserves in the banking system
(also includes monetary liabilities of the US treasury, but these aresmall)
The Fed has more control over the monetary base than overreserves:
1. Open market operations
2. Discount loans
Open Market Purchase from a Bank
Banking System Federal Reserve SystemAssets Liabilities Assets LiabilitiesSecurities −$100 Securities +$100 Reserves +$100Reserves +$100
Net result is that reserves have increased by $100
No change in currency
Monetary base and reserves have risen by $100
Open Market Sale to Bank
Banking System Federal Reserve SystemAssets Liabilities Assets LiabilitiesSecurities +$100 Securities −$100 Reserves −$100Reserves −$100
Reserves are reduced by the amount of the sale
Reduces the monetary base by the amount of the sale
Random Shifts from Deposits into Currency
Nonbank Public Banking SystemAssets Liabilities Assets LiabilitiesDeposits −$100 Reserves −$100 Deposits −$100Currency +$100
Federal Reserve SystemAssets Liabilities
Currency in Circulation +$100Reserves −$100
Net effect on monetary liabilities is zero. Reserves are changed byrandom fluctuations. The Fed has more control over the monetarybase than over reserves.
Discount Loans to Banks
Banking SystemAssets LiabilitiesReserves +$100 Discount Loans +$100
Federal Reserve SystemAssets LiabilitiesDiscount Loans +$100 Reserves +$100
Monetary liabilities of the Fed have increased by $100
Monetary base also increases by this amount
Paying off a Discount Loan to a Bank
Banking SystemAssets LiabilitiesReserves −$100 Discount Loans −$100
Federal Reserve SystemAssets LiabilitiesDiscount Loans −$100 Reserves −$100
Net effect on Monetary base is a reduction
Monetary base changes one-for-one with a change in theborrowings from the Federal Reserve System
Money Supply Model IHow does the Fed control Ms?
Fed controls the monetary base:
MB = Currency C + Reserves R
Fractional Reserve System:
R = ρ× Deposits D
where 0 < ρ < 1 is the legally required reserve ratio
Assume households hold currency C = cD where 0 < c < 1 isthe currency ratio
Ms = D + C = (1 + c)D =1 + c
ρR
=1 + c
c + ρMB
1+cρ+c > 1 is the money multiplier.
Money Supply Model II
Banks in practice hold reserves in excess of the minimumrequirement.
TR = RR + ER
TR: total reservesRR: required reservesER: excess reserves
MB = RR + ER + C
= (ρ+ e + c)× D
where e = ER/D is the excess reserve ratio.
Ms = D + C
= (1 + c)D
=1 + c
c + ρ+ eMB
1+cρ+c+e is the money multiplier.
The money multiplier is decreasing in ρ, c and e.
The excess reserves ratio e is negatively related to the marketinterest rate Ri.e. R ↑→ e ↓→ money multiplier ↑
Reserves do not pay any interest, so R is the opportunity costof holding reserves.
The excess reserves ratio e is positively related to expecteddeposit outflowsi.e. D outflows ↑→ e ↑→ money multiplier ↓
Reserves provide insurance against losses due to depositoutflows.
Discount Lending
Open market operations are controlled by the Fed
The Fed cannot determine the amount of borrowing by banksfrom the Fed at the discount window
Split the monetary base into two components:
MB = NBR + BR ⇒ M = m(NBR + BR)
The money supply is positively related to both thenon-borrowed reserves NBR and to the level of borrowedreserves, BR, from the Fed
Discount Loans to Banks
Banking SystemAssets LiabilitiesReserves +$100 Discount Loans +$100
Federal Reserve SystemAssets LiabilitiesDiscount Loans +$100 Reserves +$100
Monetary liabilities of the Fed have increased by $100
Monetary base also increases by this amount
Paying off a Discount Loan to a Bank
Banking SystemAssets LiabilitiesReserves −$100 Discount Loans −$100
Federal Reserve SystemAssets LiabilitiesDiscount Loans −$100 Reserves −$100
Net effect on Monetary base is a reduction
Monetary base changes one-for-one with a change in theborrowings from the Federal Reserve System
M = m(NBR + BR)
The Fed directly controls the non-borrowed monetary baseNBR through open market operations.
The Fed sets the discount rate to affect non-borrowedreserves, but does not directly control the amount of BR.
In practice, the Fed generally sets the discount rate abovemarket interest rates such that BR is very small.
Summary: Traditional Tools of Monetary Policy
1. Open market operations→ Affect the quantity of reserves and the monetary base
2. Changes in borrowed reserves (discount lending)→ Affect the monetary base
3. Changes in reserve requirements→ Affect the money multiplier
In recent years, the focus is increasingly on the Federal Fundsrate, i.e. the interest rate on overnight loans of reserves from onebank to another
Market for ReservesDemand for Reserves:
Two components: required and excess reserves
TRd = RR + ER
The price is the interest rate that could have been earned, i.e. thefunds rate iff
As iff ↓, the opportunity cost falls and ER ↑→ TRd ↑ → Downwardsloping demand curve
Supply of Reserves
Two components: non-borrowed and borrowed reserves
TRs = NBR + BR
Cost of borrowing from the Fed is the discount rate id .
If iff < id , banks will not borrow and supply curve is vertical
If iff > id , banks can borrow at id , and re-lend at iff , the supplycurve is horizontal (perfectly elastic) at id .